According to the graph, it is found that it represents the solution of the following system:
Option B [tex]x=\frac{9}{x}[/tex] is correct.
What are system of equations?
A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
The equations in the system can be linear or non-linear.
In the graph, two equations intersect at [tex]x = -3[/tex] and at [tex]x = 3.[/tex]
One is a straight line, in which the x-coordinate is equals to the y-coordinate, thus it is the line [tex]y = x.[/tex]
The other is an exponential equation, that goes to 0 as x goes to infinity, so x is in the denominator. At [tex]x = -3, y = -3,[/tex] and at [tex]x = 3, y = -3.[/tex] Thus, the function that has this graph is [tex]\frac{9}{x}[/tex], which means that the correct option is:
B [tex]x=\frac{9}{x}[/tex].
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